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Finding the Fourth Proportional to 4,117.70, 6,182.06 and 2,364.46

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Solution

The fourth proportional to 4,117.70, 6,182.06 and 2,364.46 is: 3,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.70 : 6,182.06 = 2,364.46 : x
  2. Step 2: Convert to fraction form
    4,117.70/6,182.06 = 2,364.46/x
  3. Step 3: Cross multiply
    4,117.70x = 6,182.06 × 2,364.46
  4. Step 4: Simplify right side
    4,117.70x = 14,617,206.31
  5. Step 5: Solve for x
    x = 14,617,206.31/4,117.70
  6. Step 6: Final answer
    x = 3,549.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.